Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112338n |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
523369433991168 = 211 · 38 · 794 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85424,-9525229] |
[a1,a2,a3,a4,a6] |
Generators |
[573:-11663:1] |
Generators of the group modulo torsion |
j |
2427855097/18432 |
j-invariant |
L |
13.025277391041 |
L(r)(E,1)/r! |
Ω |
0.2793854342656 |
Real period |
R |
0.70638144888067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37446e1 112338s1 |
Quadratic twists by: -3 -79 |